DLMF:17.9.E8 (Q5434)

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Language	Label	Description	Also known as
English	DLMF:17.9.E8	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle{{}_{3}\phi_{2}}\left({q^{-n},b,c\atop d,e};q,q% \right)=\frac{\left(de/(bc);q\right)_{n}}{\left(e;q\right)_{n}}\left(\frac{bc}% {d}\right)^{n}{{}_{3}\phi_{2}}\left({q^{-n},d/b,d/c\atop d,de/(bc)};q,q\right)% ,}}

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DLMF:17.9.E8

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Defining formula

{\displaystyle{\displaystyle\left(\NVar{a};\NVar{q}\right)_{\NVar{n}}}}

C17.S2.SS1.p1.m2aedec

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basic hypergeometric (or $$q$$ -hypergeometric) function

Defining formula

{\displaystyle{\displaystyle{{}_{\NVar{r+1}}\phi_{\NVar{s}}}\left(\NVar{a_{0},% \dots,a_{r}};\NVar{b_{1},\dots,b_{s}};\NVar{q},\NVar{z}\right)}}

C17.S4.E1.m2agdec

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Defining formula

{\displaystyle{\displaystyle q}}

C17.S1.XMD10.m1gdec

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Defining formula

{\displaystyle{\displaystyle n}}

C17.S1.XMD4.m1cdec

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Sitelinks

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